T. Jurlewicz, Z. Skoczylas – Algebra Liniowa 2 – Definicje, Twierdzenia, – Download as PDF File .pdf), Text File .txt) or read online. Jurlewicz. skoczylas – Algebra Liniowa 2 – Przykłady I Zadania tyczna Wydawnicza GiS, Wrocław [6] T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1. Przykłady i zadania, Oficyna Wydawnicza GiS,. Wrocław [7] M. Gewert. Name in Polish: Elementy algebry liniowej. Main field of study (if Level and form of studies: 1 th level, full time . [2] T. Jurlewicz, Z. Skoczylas, Algebra i geometria analityczna. Przykłady i zadania, Oficyna Wydawnicza GiS, Wrocław

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Determine and compute the oriented measures: Describe line and canonical conics equations in Cartesian and polar coordinates. Derivatives of higher order. State the polar decomposition theorem for nonsingular operators. Related to study programmes: Integration by parts and by substitution. Given the matrix find the similarity transformation invariants: In special cases, the assessment may be increased by half a degree.

Some basic information about the module

Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system:. The set of complex numbers. Know that any rotation in R3 is a composition of two reflections. State the definitions of conic sections as loci of points.


You are not logged in log in. Basic requirements in category knowledge: Lecture, 15 hours more information Tutorials, 30 hours more information.

Studying the recommended bibliography: Limits of sequences and functions. Departament of Nonlinear Analysis. Wikipedia english versionhttp: The faculty Electrical and Computer Engineering.

Derivative of the function. The purpose of this course is to present basic concepts and facts from number theory and algebra of fundamental importance in the further education of information technology – including issues relating to divisibility, modular arithmetic, matrix calculus and analytic geometry.

Jurlewjcz final grade is the grade of exam, it can be gone up an extra exam in the case if the grade of classes is higher. Given parametric or normal equations establish the relative position between lines, planes and points. Find the orthogonal complement of a subspace. The name of the module: Describe the Gram-Schmidt orthogonalization process.

Katalog przedmiotów

Rectangular and trygonometric form of a complex number. In terms of social competences: Mathematics – part-time first-cycle studies Mathematics – full-time first-cycle studies Additional information registration calendar, class conductors, localization and schedules of classesmight be available in the USOSweb system: To acquaint students with the basics of differential and integral calculus of functions of one variable and with the elements of linear algebra.

Find the parallel and perpendicular components of a vector relative to another vector.


The name of the faculty organization unit: The position in the studies teaching programme: Matrix representation of linear transformation. Algebra liniowa, PWN, Warszawa Equations of plane and line.

State the definition of orthogonal trans- formation and describe properties of orthogonal matrices. Composition of a function and inverse function.

Student has a knowledge of mathematics including algebra, analysis, functions of one and multiple variables, analytical geometry. After completing this course, student should be able to: In order to pass tutorial one has to get at least mark 3 from all skills defined in the criteria of passing the module.

Describe the canonical equations of nondegenerate quadrics in Cartesian coordinates. Knowledge of activities on real numbers and algebraic expressions. Differential equations and their applications. The positive evaluation of the two colloquia is a prerequisite for admission to the test. Integration of rational, irrational and trygonometric functions. Describe the transformation of the matrix of a linear operator under a change of basis. Be able to reduce a quadratic form into canonical form by orthogonal operators.